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Finding the Fourth Proportional to 77.90, 107.35 and 64.19

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Solution

The fourth proportional to 77.90, 107.35 and 64.19 is: 88.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.90 : 107.35 = 64.19 : x
  2. Step 2: Convert to fraction form
    77.90/107.35 = 64.19/x
  3. Step 3: Cross multiply
    77.90x = 107.35 × 64.19
  4. Step 4: Simplify right side
    77.90x = 6,890.10
  5. Step 5: Solve for x
    x = 6,890.10/77.90
  6. Step 6: Final answer
    x = 88.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.